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Can I get an example (and a small slice of work) of multiplying radical expressions? This is just for me to get the jist of the homework I'm currently doing.

 

Thanks!

 Nov 11, 2014

Best Answer 

 #3
avatar+118587 
+10

That is cute - and very derpy.   :)     (AND EFFECTIVE - I am not criticizing)

 

$$6\sqrt[5]{32m^3}\times5\sqrt[5]{1024m^2}\\\\
=6*5\sqrt[5]{32*1024m^3m^2}\\\\
=6\sqrt[5]{32*1024m^5}\\\\
=6\sqrt[5]{32*1024}\;\sqrt[5]{m^5}\\\\
=6\sqrt[5]{32*1024}\;\sqrt[5]{m^5}\\\\
=6\sqrt[5]{32*1024}\;m\\\\$$

 

$${\sqrt[{{\mathtt{{\mathtt{5}}}}}]{\left({\mathtt{32}}{\mathtt{\,\times\,}}{\mathtt{1\,024}}\right)}} = {\mathtt{8}}$$

 

$$\\=6\sqrt[5]{32*1024}\;m\\\\
=6*8\;m\\\\
=48m$$

 

Does that help?

 

It would also be very useful for you to know that fifth root is the same as a power of 1/5

 

$$\sqrt[5]{32}=32^{1/5}$$

If you are going to put this into any calc it could be done as

32^(1/5)=

In the web2 calc you could also type in sqrt(32,5) and press the equals.  This is just another way to do it.

 Nov 11, 2014
 #1
avatar+118587 
0

Maybe you should give us an example of your homework so that we can gauge the difficulty level.

 Nov 11, 2014
 #2
avatar+70 
0

A little derpy, not going to lie, but:

I couldnt figure out how to put the exponents in the square like that, so I just drew them on 

 Nov 11, 2014
 #3
avatar+118587 
+10
Best Answer

That is cute - and very derpy.   :)     (AND EFFECTIVE - I am not criticizing)

 

$$6\sqrt[5]{32m^3}\times5\sqrt[5]{1024m^2}\\\\
=6*5\sqrt[5]{32*1024m^3m^2}\\\\
=6\sqrt[5]{32*1024m^5}\\\\
=6\sqrt[5]{32*1024}\;\sqrt[5]{m^5}\\\\
=6\sqrt[5]{32*1024}\;\sqrt[5]{m^5}\\\\
=6\sqrt[5]{32*1024}\;m\\\\$$

 

$${\sqrt[{{\mathtt{{\mathtt{5}}}}}]{\left({\mathtt{32}}{\mathtt{\,\times\,}}{\mathtt{1\,024}}\right)}} = {\mathtt{8}}$$

 

$$\\=6\sqrt[5]{32*1024}\;m\\\\
=6*8\;m\\\\
=48m$$

 

Does that help?

 

It would also be very useful for you to know that fifth root is the same as a power of 1/5

 

$$\sqrt[5]{32}=32^{1/5}$$

If you are going to put this into any calc it could be done as

32^(1/5)=

In the web2 calc you could also type in sqrt(32,5) and press the equals.  This is just another way to do it.

Melody Nov 11, 2014
 #4
avatar+70 
+5

Yes, thank you ^_^

 Nov 11, 2014

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